Question

from the line y=2x-10 find the equation of the line that is perpendicular to this line and goes through the point (9,-5)

Answer 1

2 is the slope so the slope perpendicular to that is -1/2 (negative reciprocal)
-5=-1/2(9)  9*-1/2=-4.5 and -4.5 - 0.5 = -5 so the equation for the line is y=-1/2x -0.5